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Controllability Analysis of Nonlinear Neutral-type Fractional-order Differential Systems with State Delay and Impulsive Effects

B. Sundara Vadivoo, Raja Ramachandran, Jinde Cao*, Hai Zhang, and Xiaodi Li
International Journal of Control, Automation, and Systems, vol. 16, no. 2, pp.659-669, 2018

Abstract : "This paper is concerned with the controllability problem of nonlinear neutral-type fractional differential systems with state delay and impulsive effects. By using the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function and Laplace transform, a new set of sufficient conditions are obtained for the considered system to be controllable. Finally, two numerical examples are given to demonstrate the validity of the obtained theoretical results."

Keyword : "Caputo fractional derivative, controllability, fractional integro-differential equations, impulses, neutraltype, state delay."

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